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Finding the Third Proportional to 266,070 and 569,036

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Solution

The third proportional to 266,070 and 569,036 is: 1,216,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,070 : 569,036 = 569,036 : x
  2. Step 2: Convert to fraction form
    266,070/569,036 = 569,036/x
  3. Step 3: Cross multiply
    266,070x = 569,036 × 569,036
  4. Step 4: Simplify right side
    266,070x = 323,801,969,296
  5. Step 5: Solve for x
    x = 323,801,969,296/266,070
  6. Step 6: Final answer
    x = 1,216,980.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.